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The regression equation y=-0.428x+111.73 approximates the percent of people in anaudience who finish watching a documentary, y, given the length of the film inminutes, x.What is the best prediction for the percent of people in an audience who will finishwatching a documentary that is 47 minutes long? (Round your answer to thehundredths place)

Respuesta :

[tex]y=-0.428x+111.73[/tex]

For y = 47

[tex]\begin{gathered} y=47 \\ 47=-0.428x+111.73 \end{gathered}[/tex]

Solve for x:

[tex]\begin{gathered} 47=-0.428x+111.73 \\ 47-111.73=-0.428x \\ -64.73=-0.428x \\ x=\frac{-64.73}{-0.428} \\ x\approx151.24 \end{gathered}[/tex]

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